The square root of 2500 is 50. 2500 is a perfect square. Square root of -2500 is imaginary (50i)
Second order differential equations can be written as F(x,y,y',y') = 0. Incomplete equations can be reduced to first order using specific substitutions. There are five types of incomplete equations: y' = f(x), y' = f(y), etc
2i is an imaginary number in the form bi, where b is real and i is imaginary. Square of 2i equals -2, as i is the square root of -1. 2i is not a real number, as it doesn't exist in the real line
Factorising is the reverse process of expanding brackets. It involves finding highest common factors and putting them in brackets
Systems of linear equations can be solved using four methods. Substitution method involves solving one equation for one variable. Elimination method multiplies equations and adds them together. Cramer's rule uses matrix operations to solve systems. Graphing method is an alternative solution method
Quadratic formula was developed by Shreedhara Acharya for ax² + bx + c = 0. Formula is x = (-b ± √(b² - 4ac))/2a. Formula can be derived using completing the square or shortcut methods